Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,4,Mod(4,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.e (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.767024830075\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 13.4 |
Dual form | 13.4.e.a.10.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.00000 | − | 1.73205i | −1.06066 | − | 0.612372i | −0.135045 | − | 0.990839i | \(-0.543118\pi\) |
−0.925615 | + | 0.378467i | \(0.876451\pi\) | |||||||
\(3\) | 3.50000 | − | 6.06218i | 0.673575 | − | 1.16667i | −0.303308 | − | 0.952893i | \(-0.598091\pi\) |
0.976883 | − | 0.213774i | \(-0.0685756\pi\) | |||||||
\(4\) | 2.00000 | + | 3.46410i | 0.250000 | + | 0.433013i | ||||
\(5\) | 13.8564i | 1.23935i | 0.784857 | + | 0.619677i | \(0.212737\pi\) | ||||
−0.784857 | + | 0.619677i | \(0.787263\pi\) | |||||||
\(6\) | −21.0000 | + | 12.1244i | −1.42887 | + | 0.824958i | ||||
\(7\) | 19.5000 | − | 11.2583i | 1.05290 | − | 0.607893i | 0.129441 | − | 0.991587i | \(-0.458682\pi\) |
0.923460 | + | 0.383694i | \(0.125348\pi\) | |||||||
\(8\) | 13.8564i | 0.612372i | ||||||||
\(9\) | −11.0000 | − | 19.0526i | −0.407407 | − | 0.705650i | ||||
\(10\) | 24.0000 | − | 41.5692i | 0.758947 | − | 1.31453i | ||||
\(11\) | −19.5000 | − | 11.2583i | −0.534497 | − | 0.308592i | 0.208349 | − | 0.978055i | \(-0.433191\pi\) |
−0.742846 | + | 0.669462i | \(0.766525\pi\) | |||||||
\(12\) | 28.0000 | 0.673575 | ||||||||
\(13\) | −13.0000 | + | 45.0333i | −0.277350 | + | 0.960769i | ||||
\(14\) | −78.0000 | −1.48903 | ||||||||
\(15\) | 84.0000 | + | 48.4974i | 1.44591 | + | 0.834799i | ||||
\(16\) | 40.0000 | − | 69.2820i | 0.625000 | − | 1.08253i | ||||
\(17\) | −13.5000 | − | 23.3827i | −0.192602 | − | 0.333596i | 0.753510 | − | 0.657437i | \(-0.228359\pi\) |
−0.946112 | + | 0.323840i | \(0.895026\pi\) | |||||||
\(18\) | 76.2102i | 0.997940i | ||||||||
\(19\) | −76.5000 | + | 44.1673i | −0.923700 | + | 0.533299i | −0.884814 | − | 0.465945i | \(-0.845714\pi\) |
−0.0388865 | + | 0.999244i | \(0.512381\pi\) | |||||||
\(20\) | −48.0000 | + | 27.7128i | −0.536656 | + | 0.309839i | ||||
\(21\) | − | 157.617i | − | 1.63785i | ||||||
\(22\) | 39.0000 | + | 67.5500i | 0.377947 | + | 0.654623i | ||||
\(23\) | −28.5000 | + | 49.3634i | −0.258377 | + | 0.447521i | −0.965807 | − | 0.259261i | \(-0.916521\pi\) |
0.707431 | + | 0.706783i | \(0.249854\pi\) | |||||||
\(24\) | 84.0000 | + | 48.4974i | 0.714435 | + | 0.412479i | ||||
\(25\) | −67.0000 | −0.536000 | ||||||||
\(26\) | 117.000 | − | 112.583i | 0.882523 | − | 0.849208i | ||||
\(27\) | 35.0000 | 0.249472 | ||||||||
\(28\) | 78.0000 | + | 45.0333i | 0.526451 | + | 0.303946i | ||||
\(29\) | 34.5000 | − | 59.7558i | 0.220913 | − | 0.382633i | −0.734172 | − | 0.678963i | \(-0.762430\pi\) |
0.955086 | + | 0.296330i | \(0.0957628\pi\) | |||||||
\(30\) | −168.000 | − | 290.985i | −1.02242 | − | 1.77088i | ||||
\(31\) | − | 72.7461i | − | 0.421471i | −0.977543 | − | 0.210735i | \(-0.932414\pi\) | ||
0.977543 | − | 0.210735i | \(-0.0675858\pi\) | |||||||
\(32\) | −144.000 | + | 83.1384i | −0.795495 | + | 0.459279i | ||||
\(33\) | −136.500 | + | 78.8083i | −0.720048 | + | 0.415720i | ||||
\(34\) | 93.5307i | 0.471776i | ||||||||
\(35\) | 156.000 | + | 270.200i | 0.753395 | + | 1.30492i | ||||
\(36\) | 44.0000 | − | 76.2102i | 0.203704 | − | 0.352825i | ||||
\(37\) | −34.5000 | − | 19.9186i | −0.153291 | − | 0.0885026i | 0.421393 | − | 0.906878i | \(-0.361541\pi\) |
−0.574683 | + | 0.818376i | \(0.694875\pi\) | |||||||
\(38\) | 306.000 | 1.30631 | ||||||||
\(39\) | 227.500 | + | 236.425i | 0.934081 | + | 0.970725i | ||||
\(40\) | −192.000 | −0.758947 | ||||||||
\(41\) | −340.500 | − | 196.588i | −1.29700 | − | 0.748826i | −0.317118 | − | 0.948386i | \(-0.602715\pi\) |
−0.979886 | + | 0.199560i | \(0.936049\pi\) | |||||||
\(42\) | −273.000 | + | 472.850i | −1.00297 | + | 1.73720i | ||||
\(43\) | 42.5000 | + | 73.6122i | 0.150725 | + | 0.261064i | 0.931494 | − | 0.363756i | \(-0.118506\pi\) |
−0.780769 | + | 0.624820i | \(0.785172\pi\) | |||||||
\(44\) | − | 90.0666i | − | 0.308592i | ||||||
\(45\) | 264.000 | − | 152.420i | 0.874551 | − | 0.504922i | ||||
\(46\) | 171.000 | − | 98.7269i | 0.548099 | − | 0.316445i | ||||
\(47\) | − | 342.946i | − | 1.06434i | −0.846639 | − | 0.532168i | \(-0.821377\pi\) | ||
0.846639 | − | 0.532168i | \(-0.178623\pi\) | |||||||
\(48\) | −280.000 | − | 484.974i | −0.841969 | − | 1.45833i | ||||
\(49\) | 82.0000 | − | 142.028i | 0.239067 | − | 0.414076i | ||||
\(50\) | 201.000 | + | 116.047i | 0.568514 | + | 0.328232i | ||||
\(51\) | −189.000 | −0.518927 | ||||||||
\(52\) | −182.000 | + | 45.0333i | −0.485363 | + | 0.120096i | ||||
\(53\) | 426.000 | 1.10407 | 0.552034 | − | 0.833822i | \(-0.313852\pi\) | ||||
0.552034 | + | 0.833822i | \(0.313852\pi\) | |||||||
\(54\) | −105.000 | − | 60.6218i | −0.264605 | − | 0.152770i | ||||
\(55\) | 156.000 | − | 270.200i | 0.382455 | − | 0.662432i | ||||
\(56\) | 156.000 | + | 270.200i | 0.372257 | + | 0.644768i | ||||
\(57\) | 618.342i | 1.43687i | ||||||||
\(58\) | −207.000 | + | 119.512i | −0.468628 | + | 0.270563i | ||||
\(59\) | −16.5000 | + | 9.52628i | −0.0364088 | + | 0.0210206i | −0.518094 | − | 0.855324i | \(-0.673358\pi\) |
0.481685 | + | 0.876344i | \(0.340025\pi\) | |||||||
\(60\) | 387.979i | 0.834799i | ||||||||
\(61\) | 8.50000 | + | 14.7224i | 0.0178412 | + | 0.0309019i | 0.874808 | − | 0.484469i | \(-0.160987\pi\) |
−0.856967 | + | 0.515371i | \(0.827654\pi\) | |||||||
\(62\) | −126.000 | + | 218.238i | −0.258097 | + | 0.447037i | ||||
\(63\) | −429.000 | − | 247.683i | −0.857919 | − | 0.495320i | ||||
\(64\) | −64.0000 | −0.125000 | ||||||||
\(65\) | −624.000 | − | 180.133i | −1.19073 | − | 0.343735i | ||||
\(66\) | 546.000 | 1.01830 | ||||||||
\(67\) | 142.500 | + | 82.2724i | 0.259838 | + | 0.150018i | 0.624261 | − | 0.781216i | \(-0.285400\pi\) |
−0.364423 | + | 0.931234i | \(0.618734\pi\) | |||||||
\(68\) | 54.0000 | − | 93.5307i | 0.0963009 | − | 0.166798i | ||||
\(69\) | 199.500 | + | 345.544i | 0.348072 | + | 0.602879i | ||||
\(70\) | − | 1080.80i | − | 1.84543i | ||||||
\(71\) | 505.500 | − | 291.851i | 0.844955 | − | 0.487835i | −0.0139904 | − | 0.999902i | \(-0.504453\pi\) |
0.858945 | + | 0.512067i | \(0.171120\pi\) | |||||||
\(72\) | 264.000 | − | 152.420i | 0.432121 | − | 0.249485i | ||||
\(73\) | 1004.59i | 1.61066i | 0.592826 | + | 0.805331i | \(0.298012\pi\) | ||||
−0.592826 | + | 0.805331i | \(0.701988\pi\) | |||||||
\(74\) | 69.0000 | + | 119.512i | 0.108393 | + | 0.187742i | ||||
\(75\) | −234.500 | + | 406.166i | −0.361036 | + | 0.625333i | ||||
\(76\) | −306.000 | − | 176.669i | −0.461850 | − | 0.266649i | ||||
\(77\) | −507.000 | −0.750364 | ||||||||
\(78\) | −273.000 | − | 1103.32i | −0.396297 | − | 1.60162i | ||||
\(79\) | −1244.00 | −1.77166 | −0.885829 | − | 0.464012i | \(-0.846409\pi\) | ||||
−0.885829 | + | 0.464012i | \(0.846409\pi\) | |||||||
\(80\) | 960.000 | + | 554.256i | 1.34164 | + | 0.774597i | ||||
\(81\) | 419.500 | − | 726.595i | 0.575446 | − | 0.996701i | ||||
\(82\) | 681.000 | + | 1179.53i | 0.917120 | + | 1.58850i | ||||
\(83\) | − | 426.084i | − | 0.563480i | −0.959491 | − | 0.281740i | \(-0.909088\pi\) | ||
0.959491 | − | 0.281740i | \(-0.0909116\pi\) | |||||||
\(84\) | 546.000 | − | 315.233i | 0.709208 | − | 0.409462i | ||||
\(85\) | 324.000 | − | 187.061i | 0.413444 | − | 0.238702i | ||||
\(86\) | − | 294.449i | − | 0.369200i | ||||||
\(87\) | −241.500 | − | 418.290i | −0.297604 | − | 0.515465i | ||||
\(88\) | 156.000 | − | 270.200i | 0.188973 | − | 0.327311i | ||||
\(89\) | 265.500 | + | 153.286i | 0.316213 | + | 0.182566i | 0.649703 | − | 0.760188i | \(-0.274893\pi\) |
−0.333490 | + | 0.942753i | \(0.608226\pi\) | |||||||
\(90\) | −1056.00 | −1.23680 | ||||||||
\(91\) | 253.500 | + | 1024.51i | 0.292022 | + | 1.18019i | ||||
\(92\) | −228.000 | −0.258377 | ||||||||
\(93\) | −441.000 | − | 254.611i | −0.491716 | − | 0.283892i | ||||
\(94\) | −594.000 | + | 1028.84i | −0.651770 | + | 1.12890i | ||||
\(95\) | −612.000 | − | 1060.02i | −0.660946 | − | 1.14479i | ||||
\(96\) | 1163.94i | 1.23744i | ||||||||
\(97\) | 1069.50 | − | 617.476i | 1.11950 | − | 0.646342i | 0.178225 | − | 0.983990i | \(-0.442965\pi\) |
0.941273 | + | 0.337647i | \(0.109631\pi\) | |||||||
\(98\) | −492.000 | + | 284.056i | −0.507138 | + | 0.292796i | ||||
\(99\) | 495.367i | 0.502891i | ||||||||
\(100\) | −134.000 | − | 232.095i | −0.134000 | − | 0.232095i | ||||
\(101\) | −979.500 | + | 1696.54i | −0.964989 | + | 1.67141i | −0.255345 | + | 0.966850i | \(0.582189\pi\) |
−0.709645 | + | 0.704560i | \(0.751144\pi\) | |||||||
\(102\) | 567.000 | + | 327.358i | 0.550406 | + | 0.317777i | ||||
\(103\) | 1856.00 | 1.77551 | 0.887753 | − | 0.460320i | \(-0.152265\pi\) | ||||
0.887753 | + | 0.460320i | \(0.152265\pi\) | |||||||
\(104\) | −624.000 | − | 180.133i | −0.588348 | − | 0.169842i | ||||
\(105\) | 2184.00 | 2.02987 | ||||||||
\(106\) | −1278.00 | − | 737.854i | −1.17104 | − | 0.676101i | ||||
\(107\) | 127.500 | − | 220.836i | 0.115195 | − | 0.199524i | −0.802663 | − | 0.596433i | \(-0.796584\pi\) |
0.917858 | + | 0.396909i | \(0.129917\pi\) | |||||||
\(108\) | 70.0000 | + | 121.244i | 0.0623681 | + | 0.108025i | ||||
\(109\) | − | 609.682i | − | 0.535752i | −0.963453 | − | 0.267876i | \(-0.913678\pi\) | ||
0.963453 | − | 0.267876i | \(-0.0863217\pi\) | |||||||
\(110\) | −936.000 | + | 540.400i | −0.811310 | + | 0.468410i | ||||
\(111\) | −241.500 | + | 139.430i | −0.206506 | + | 0.119226i | ||||
\(112\) | − | 1801.33i | − | 1.51973i | ||||||
\(113\) | −205.500 | − | 355.936i | −0.171078 | − | 0.296316i | 0.767719 | − | 0.640787i | \(-0.221392\pi\) |
−0.938797 | + | 0.344471i | \(0.888058\pi\) | |||||||
\(114\) | 1071.00 | − | 1855.03i | 0.879898 | − | 1.52403i | ||||
\(115\) | −684.000 | − | 394.908i | −0.554638 | − | 0.320220i | ||||
\(116\) | 276.000 | 0.220913 | ||||||||
\(117\) | 1001.00 | − | 247.683i | 0.790961 | − | 0.195712i | ||||
\(118\) | 66.0000 | 0.0514898 | ||||||||
\(119\) | −526.500 | − | 303.975i | −0.405581 | − | 0.234162i | ||||
\(120\) | −672.000 | + | 1163.94i | −0.511208 | + | 0.885438i | ||||
\(121\) | −412.000 | − | 713.605i | −0.309542 | − | 0.536142i | ||||
\(122\) | − | 58.8897i | − | 0.0437018i | ||||||
\(123\) | −2383.50 | + | 1376.11i | −1.74726 | + | 1.00878i | ||||
\(124\) | 252.000 | − | 145.492i | 0.182502 | − | 0.105368i | ||||
\(125\) | 803.672i | 0.575061i | ||||||||
\(126\) | 858.000 | + | 1486.10i | 0.606641 | + | 1.05073i | ||||
\(127\) | 1121.50 | − | 1942.49i | 0.783599 | − | 1.35723i | −0.146234 | − | 0.989250i | \(-0.546715\pi\) |
0.929833 | − | 0.367983i | \(-0.119951\pi\) | |||||||
\(128\) | 1344.00 | + | 775.959i | 0.928078 | + | 0.535826i | ||||
\(129\) | 595.000 | 0.406099 | ||||||||
\(130\) | 1560.00 | + | 1621.20i | 1.05247 | + | 1.09376i | ||||
\(131\) | −372.000 | −0.248105 | −0.124053 | − | 0.992276i | \(-0.539589\pi\) | ||||
−0.124053 | + | 0.992276i | \(0.539589\pi\) | |||||||
\(132\) | −546.000 | − | 315.233i | −0.360024 | − | 0.207860i | ||||
\(133\) | −994.500 | + | 1722.52i | −0.648377 | + | 1.12302i | ||||
\(134\) | −285.000 | − | 493.634i | −0.183733 | − | 0.318235i | ||||
\(135\) | 484.974i | 0.309185i | ||||||||
\(136\) | 324.000 | − | 187.061i | 0.204285 | − | 0.117944i | ||||
\(137\) | −1030.50 | + | 594.959i | −0.642639 | + | 0.371028i | −0.785630 | − | 0.618696i | \(-0.787661\pi\) |
0.142991 | + | 0.989724i | \(0.454328\pi\) | |||||||
\(138\) | − | 1382.18i | − | 0.852599i | ||||||
\(139\) | 1272.50 | + | 2204.03i | 0.776490 | + | 1.34492i | 0.933953 | + | 0.357395i | \(0.116335\pi\) |
−0.157464 | + | 0.987525i | \(0.550332\pi\) | |||||||
\(140\) | −624.000 | + | 1080.80i | −0.376697 | + | 0.652459i | ||||
\(141\) | −2079.00 | − | 1200.31i | −1.24173 | − | 0.716911i | ||||
\(142\) | −2022.00 | −1.19495 | ||||||||
\(143\) | 760.500 | − | 731.791i | 0.444729 | − | 0.427940i | ||||
\(144\) | −1760.00 | −1.01852 | ||||||||
\(145\) | 828.000 | + | 478.046i | 0.474218 | + | 0.273790i | ||||
\(146\) | 1740.00 | − | 3013.77i | 0.986325 | − | 1.70836i | ||||
\(147\) | −574.000 | − | 994.197i | −0.322059 | − | 0.557823i | ||||
\(148\) | − | 159.349i | − | 0.0885026i | ||||||
\(149\) | 1129.50 | − | 652.117i | 0.621022 | − | 0.358547i | −0.156245 | − | 0.987718i | \(-0.549939\pi\) |
0.777267 | + | 0.629171i | \(0.216606\pi\) | |||||||
\(150\) | 1407.00 | − | 812.332i | 0.765874 | − | 0.442177i | ||||
\(151\) | − | 86.6025i | − | 0.0466729i | −0.999728 | − | 0.0233365i | \(-0.992571\pi\) | ||
0.999728 | − | 0.0233365i | \(-0.00742890\pi\) | |||||||
\(152\) | −612.000 | − | 1060.02i | −0.326577 | − | 0.565649i | ||||
\(153\) | −297.000 | + | 514.419i | −0.156935 | + | 0.271819i | ||||
\(154\) | 1521.00 | + | 878.150i | 0.795881 | + | 0.459502i | ||||
\(155\) | 1008.00 | 0.522352 | ||||||||
\(156\) | −364.000 | + | 1260.93i | −0.186816 | + | 0.647150i | ||||
\(157\) | −1534.00 | −0.779787 | −0.389893 | − | 0.920860i | \(-0.627488\pi\) | ||||
−0.389893 | + | 0.920860i | \(0.627488\pi\) | |||||||
\(158\) | 3732.00 | + | 2154.67i | 1.87913 | + | 1.08491i | ||||
\(159\) | 1491.00 | − | 2582.49i | 0.743673 | − | 1.28808i | ||||
\(160\) | −1152.00 | − | 1995.32i | −0.569210 | − | 0.985901i | ||||
\(161\) | 1283.45i | 0.628261i | ||||||||
\(162\) | −2517.00 | + | 1453.19i | −1.22070 | + | 0.704774i | ||||
\(163\) | −1414.50 | + | 816.662i | −0.679707 | + | 0.392429i | −0.799745 | − | 0.600340i | \(-0.795032\pi\) |
0.120038 | + | 0.992769i | \(0.461698\pi\) | |||||||
\(164\) | − | 1572.70i | − | 0.748826i | ||||||
\(165\) | −1092.00 | − | 1891.40i | −0.515225 | − | 0.892395i | ||||
\(166\) | −738.000 | + | 1278.25i | −0.345060 | + | 0.597661i | ||||
\(167\) | 1408.50 | + | 813.198i | 0.652653 | + | 0.376809i | 0.789472 | − | 0.613787i | \(-0.210355\pi\) |
−0.136819 | + | 0.990596i | \(0.543688\pi\) | |||||||
\(168\) | 2184.00 | 1.00297 | ||||||||
\(169\) | −1859.00 | − | 1170.87i | −0.846154 | − | 0.532939i | ||||
\(170\) | −1296.00 | −0.584698 | ||||||||
\(171\) | 1683.00 | + | 971.681i | 0.752645 | + | 0.434540i | ||||
\(172\) | −170.000 | + | 294.449i | −0.0753627 | + | 0.130532i | ||||
\(173\) | 436.500 | + | 756.040i | 0.191829 | + | 0.332258i | 0.945857 | − | 0.324585i | \(-0.105225\pi\) |
−0.754027 | + | 0.656843i | \(0.771891\pi\) | |||||||
\(174\) | 1673.16i | 0.728977i | ||||||||
\(175\) | −1306.50 | + | 754.308i | −0.564355 | + | 0.325830i | ||||
\(176\) | −1560.00 | + | 900.666i | −0.668122 | + | 0.385740i | ||||
\(177\) | 133.368i | 0.0566359i | ||||||||
\(178\) | −531.000 | − | 919.719i | −0.223596 | − | 0.387280i | ||||
\(179\) | 643.500 | − | 1114.57i | 0.268701 | − | 0.465403i | −0.699826 | − | 0.714314i | \(-0.746739\pi\) |
0.968527 | + | 0.248910i | \(0.0800724\pi\) | |||||||
\(180\) | 1056.00 | + | 609.682i | 0.437276 | + | 0.252461i | ||||
\(181\) | 2.00000 | 0.000821319 | 0.000410660 | − | 1.00000i | \(-0.499869\pi\) | ||||
0.000410660 | 1.00000i | \(0.499869\pi\) | ||||||||
\(182\) | 1014.00 | − | 3512.60i | 0.412982 | − | 1.43061i | ||||
\(183\) | 119.000 | 0.0480696 | ||||||||
\(184\) | −684.000 | − | 394.908i | −0.274050 | − | 0.158223i | ||||
\(185\) | 276.000 | − | 478.046i | 0.109686 | − | 0.189982i | ||||
\(186\) | 882.000 | + | 1527.67i | 0.347696 | + | 0.602226i | ||||
\(187\) | 607.950i | 0.237742i | ||||||||
\(188\) | 1188.00 | − | 685.892i | 0.460871 | − | 0.266084i | ||||
\(189\) | 682.500 | − | 394.042i | 0.262670 | − | 0.151652i | ||||
\(190\) | 4240.06i | 1.61898i | ||||||||
\(191\) | 1420.50 | + | 2460.38i | 0.538135 | + | 0.932077i | 0.999005 | + | 0.0446092i | \(0.0142043\pi\) |
−0.460870 | + | 0.887468i | \(0.652462\pi\) | |||||||
\(192\) | −224.000 | + | 387.979i | −0.0841969 | + | 0.145833i | ||||
\(193\) | −3676.50 | − | 2122.63i | −1.37119 | − | 0.791659i | −0.380115 | − | 0.924939i | \(-0.624115\pi\) |
−0.991078 | + | 0.133281i | \(0.957449\pi\) | |||||||
\(194\) | −4278.00 | −1.58321 | ||||||||
\(195\) | −3276.00 | + | 3152.33i | −1.20307 | + | 1.15766i | ||||
\(196\) | 656.000 | 0.239067 | ||||||||
\(197\) | 2383.50 | + | 1376.11i | 0.862017 | + | 0.497686i | 0.864687 | − | 0.502311i | \(-0.167517\pi\) |
−0.00267023 | + | 0.999996i | \(0.500850\pi\) | |||||||
\(198\) | 858.000 | − | 1486.10i | 0.307957 | − | 0.533396i | ||||
\(199\) | 842.500 | + | 1459.25i | 0.300117 | + | 0.519818i | 0.976162 | − | 0.217042i | \(-0.0696410\pi\) |
−0.676045 | + | 0.736860i | \(0.736308\pi\) | |||||||
\(200\) | − | 928.379i | − | 0.328232i | ||||||
\(201\) | 997.500 | − | 575.907i | 0.350041 | − | 0.202096i | ||||
\(202\) | 5877.00 | − | 3393.09i | 2.04705 | − | 1.18187i | ||||
\(203\) | − | 1553.65i | − | 0.537167i | ||||||
\(204\) | −378.000 | − | 654.715i | −0.129732 | − | 0.224702i | ||||
\(205\) | 2724.00 | − | 4718.11i | 0.928061 | − | 1.60745i | ||||
\(206\) | −5568.00 | − | 3214.69i | −1.88321 | − | 1.08727i | ||||
\(207\) | 1254.00 | 0.421058 | ||||||||
\(208\) | 2600.00 | + | 2702.00i | 0.866719 | + | 0.900721i | ||||
\(209\) | 1989.00 | 0.658287 | ||||||||
\(210\) | −6552.00 | − | 3782.80i | −2.15300 | − | 1.24304i | ||||
\(211\) | −840.500 | + | 1455.79i | −0.274229 | + | 0.474979i | −0.969940 | − | 0.243343i | \(-0.921756\pi\) |
0.695711 | + | 0.718322i | \(0.255089\pi\) | |||||||
\(212\) | 852.000 | + | 1475.71i | 0.276017 | + | 0.478075i | ||||
\(213\) | − | 4085.91i | − | 1.31437i | ||||||
\(214\) | −765.000 | + | 441.673i | −0.244366 | + | 0.141085i | ||||
\(215\) | −1020.00 | + | 588.897i | −0.323551 | + | 0.186802i | ||||
\(216\) | 484.974i | 0.152770i | ||||||||
\(217\) | −819.000 | − | 1418.55i | −0.256209 | − | 0.443767i | ||||
\(218\) | −1056.00 | + | 1829.05i | −0.328080 | + | 0.568250i | ||||
\(219\) | 6090.00 | + | 3516.06i | 1.87911 | + | 1.08490i | ||||
\(220\) | 1248.00 | 0.382455 | ||||||||
\(221\) | 1228.50 | − | 303.975i | 0.373927 | − | 0.0925229i | ||||
\(222\) | 966.000 | 0.292044 | ||||||||
\(223\) | −3547.50 | − | 2048.15i | −1.06528 | − | 0.615042i | −0.138394 | − | 0.990377i | \(-0.544194\pi\) |
−0.926889 | + | 0.375336i | \(0.877527\pi\) | |||||||
\(224\) | −1872.00 | + | 3242.40i | −0.558385 | + | 0.967151i | ||||
\(225\) | 737.000 | + | 1276.52i | 0.218370 | + | 0.378229i | ||||
\(226\) | 1423.75i | 0.419054i | ||||||||
\(227\) | 379.500 | − | 219.104i | 0.110962 | − | 0.0640638i | −0.443492 | − | 0.896278i | \(-0.646261\pi\) |
0.554454 | + | 0.832215i | \(0.312927\pi\) | |||||||
\(228\) | −2142.00 | + | 1236.68i | −0.622182 | + | 0.359217i | ||||
\(229\) | 180.133i | 0.0519805i | 0.999662 | + | 0.0259903i | \(0.00827389\pi\) | ||||
−0.999662 | + | 0.0259903i | \(0.991726\pi\) | |||||||
\(230\) | 1368.00 | + | 2369.45i | 0.392188 | + | 0.679290i | ||||
\(231\) | −1774.50 | + | 3073.52i | −0.505427 | + | 0.875424i | ||||
\(232\) | 828.000 | + | 478.046i | 0.234314 | + | 0.135281i | ||||
\(233\) | −5778.00 | −1.62459 | −0.812295 | − | 0.583247i | \(-0.801782\pi\) | ||||
−0.812295 | + | 0.583247i | \(0.801782\pi\) | |||||||
\(234\) | −3432.00 | − | 990.733i | −0.958790 | − | 0.276779i | ||||
\(235\) | 4752.00 | 1.31909 | ||||||||
\(236\) | −66.0000 | − | 38.1051i | −0.0182044 | − | 0.0105103i | ||||
\(237\) | −4354.00 | + | 7541.35i | −1.19334 | + | 2.06693i | ||||
\(238\) | 1053.00 | + | 1823.85i | 0.286789 | + | 0.496734i | ||||
\(239\) | − | 1860.22i | − | 0.503464i | −0.967797 | − | 0.251732i | \(-0.919000\pi\) | ||
0.967797 | − | 0.251732i | \(-0.0810001\pi\) | |||||||
\(240\) | 6720.00 | − | 3879.79i | 1.80739 | − | 1.04350i | ||||
\(241\) | 1783.50 | − | 1029.70i | 0.476703 | − | 0.275224i | −0.242339 | − | 0.970192i | \(-0.577915\pi\) |
0.719041 | + | 0.694967i | \(0.244581\pi\) | |||||||
\(242\) | 2854.42i | 0.758219i | ||||||||
\(243\) | −2464.00 | − | 4267.77i | −0.650476 | − | 1.12666i | ||||
\(244\) | −34.0000 | + | 58.8897i | −0.00892060 | + | 0.0154509i | ||||
\(245\) | 1968.00 | + | 1136.23i | 0.513187 | + | 0.296289i | ||||
\(246\) | 9534.00 | 2.47100 | ||||||||
\(247\) | −994.500 | − | 4019.22i | −0.256188 | − | 1.03537i | ||||
\(248\) | 1008.00 | 0.258097 | ||||||||
\(249\) | −2583.00 | − | 1491.30i | −0.657393 | − | 0.379546i | ||||
\(250\) | 1392.00 | − | 2411.01i | 0.352151 | − | 0.609944i | ||||
\(251\) | −2245.50 | − | 3889.32i | −0.564680 | − | 0.978055i | −0.997079 | − | 0.0763724i | \(-0.975666\pi\) |
0.432399 | − | 0.901682i | \(-0.357667\pi\) | |||||||
\(252\) | − | 1981.47i | − | 0.495320i | ||||||
\(253\) | 1111.50 | − | 641.725i | 0.276203 | − | 0.159466i | ||||
\(254\) | −6729.00 | + | 3884.99i | −1.66226 | + | 0.959708i | ||||
\(255\) | − | 2618.86i | − | 0.643135i | ||||||
\(256\) | −2432.00 | − | 4212.35i | −0.593750 | − | 1.02841i | ||||
\(257\) | −2725.50 | + | 4720.70i | −0.661525 | + | 1.14580i | 0.318690 | + | 0.947859i | \(0.396757\pi\) |
−0.980215 | + | 0.197936i | \(0.936576\pi\) | |||||||
\(258\) | −1785.00 | − | 1030.57i | −0.430734 | − | 0.248684i | ||||
\(259\) | −897.000 | −0.215200 | ||||||||
\(260\) | −624.000 | − | 2521.87i | −0.148842 | − | 0.601536i | ||||
\(261\) | −1518.00 | −0.360007 | ||||||||
\(262\) | 1116.00 | + | 644.323i | 0.263155 | + | 0.151933i | ||||
\(263\) | 391.500 | − | 678.098i | 0.0917906 | − | 0.158986i | −0.816474 | − | 0.577382i | \(-0.804074\pi\) |
0.908265 | + | 0.418396i | \(0.137408\pi\) | |||||||
\(264\) | −1092.00 | − | 1891.40i | −0.254576 | − | 0.440938i | ||||
\(265\) | 5902.83i | 1.36833i | ||||||||
\(266\) | 5967.00 | − | 3445.05i | 1.37541 | − | 0.794096i | ||||
\(267\) | 1858.50 | − | 1073.01i | 0.425986 | − | 0.245943i | ||||
\(268\) | 658.179i | 0.150018i | ||||||||
\(269\) | 2542.50 | + | 4403.74i | 0.576279 | + | 0.998144i | 0.995901 | + | 0.0904453i | \(0.0288290\pi\) |
−0.419623 | + | 0.907699i | \(0.637838\pi\) | |||||||
\(270\) | 840.000 | − | 1454.92i | 0.189336 | − | 0.327940i | ||||
\(271\) | −1147.50 | − | 662.509i | −0.257216 | − | 0.148504i | 0.365848 | − | 0.930675i | \(-0.380779\pi\) |
−0.623064 | + | 0.782171i | \(0.714112\pi\) | |||||||
\(272\) | −2160.00 | −0.481505 | ||||||||
\(273\) | 7098.00 | + | 2049.02i | 1.57359 | + | 0.454257i | ||||
\(274\) | 4122.00 | 0.908829 | ||||||||
\(275\) | 1306.50 | + | 754.308i | 0.286491 | + | 0.165405i | ||||
\(276\) | −798.000 | + | 1382.18i | −0.174036 | + | 0.301439i | ||||
\(277\) | 1710.50 | + | 2962.67i | 0.371025 | + | 0.642635i | 0.989724 | − | 0.142994i | \(-0.0456730\pi\) |
−0.618698 | + | 0.785629i | \(0.712340\pi\) | |||||||
\(278\) | − | 8816.14i | − | 1.90200i | ||||||
\(279\) | −1386.00 | + | 800.207i | −0.297411 | + | 0.171710i | ||||
\(280\) | −3744.00 | + | 2161.60i | −0.799096 | + | 0.461358i | ||||
\(281\) | 810.600i | 0.172087i | 0.996291 | + | 0.0860433i | \(0.0274223\pi\) | ||||
−0.996291 | + | 0.0860433i | \(0.972578\pi\) | |||||||
\(282\) | 4158.00 | + | 7201.87i | 0.878033 | + | 1.52080i | ||||
\(283\) | −3588.50 | + | 6215.46i | −0.753760 | + | 1.30555i | 0.192228 | + | 0.981350i | \(0.438429\pi\) |
−0.945988 | + | 0.324201i | \(0.894905\pi\) | |||||||
\(284\) | 2022.00 | + | 1167.40i | 0.422478 | + | 0.243918i | ||||
\(285\) | −8568.00 | −1.78079 | ||||||||
\(286\) | −3549.00 | + | 878.150i | −0.733765 | + | 0.181560i | ||||
\(287\) | −8853.00 | −1.82082 | ||||||||
\(288\) | 3168.00 | + | 1829.05i | 0.648181 | + | 0.374228i | ||||
\(289\) | 2092.00 | − | 3623.45i | 0.425809 | − | 0.737523i | ||||
\(290\) | −1656.00 | − | 2868.28i | −0.335323 | − | 0.580796i | ||||
\(291\) | − | 8644.67i | − | 1.74144i | ||||||
\(292\) | −3480.00 | + | 2009.18i | −0.697437 | + | 0.402665i | ||||
\(293\) | 8065.50 | − | 4656.62i | 1.60816 | − | 0.928473i | 0.618381 | − | 0.785878i | \(-0.287789\pi\) |
0.989781 | − | 0.142595i | \(-0.0455445\pi\) | |||||||
\(294\) | 3976.79i | 0.788881i | ||||||||
\(295\) | −132.000 | − | 228.631i | −0.0260520 | − | 0.0451234i | ||||
\(296\) | 276.000 | − | 478.046i | 0.0541965 | − | 0.0938712i | ||||
\(297\) | −682.500 | − | 394.042i | −0.133342 | − | 0.0769852i | ||||
\(298\) | −4518.00 | −0.878257 | ||||||||
\(299\) | −1852.50 | − | 1925.17i | −0.358304 | − | 0.372360i | ||||
\(300\) | −1876.00 | −0.361036 | ||||||||
\(301\) | 1657.50 | + | 956.958i | 0.317398 | + | 0.183250i | ||||
\(302\) | −150.000 | + | 259.808i | −0.0285812 | + | 0.0495041i | ||||
\(303\) | 6856.50 | + | 11875.8i | 1.29999 | + | 2.25164i | ||||
\(304\) | 7066.77i | 1.33325i | ||||||||
\(305\) | −204.000 | + | 117.779i | −0.0382984 | + | 0.0221116i | ||||
\(306\) | 1782.00 | − | 1028.84i | 0.332909 | − | 0.192205i | ||||
\(307\) | − | 4777.00i | − | 0.888070i | −0.896009 | − | 0.444035i | \(-0.853547\pi\) | ||
0.896009 | − | 0.444035i | \(-0.146453\pi\) | |||||||
\(308\) | −1014.00 | − | 1756.30i | −0.187591 | − | 0.324917i | ||||
\(309\) | 6496.00 | − | 11251.4i | 1.19594 | − | 2.07142i | ||||
\(310\) | −3024.00 | − | 1745.91i | −0.554038 | − | 0.319874i | ||||
\(311\) | 6192.00 | 1.12899 | 0.564495 | − | 0.825436i | \(-0.309071\pi\) | ||||
0.564495 | + | 0.825436i | \(0.309071\pi\) | |||||||
\(312\) | −3276.00 | + | 3152.33i | −0.594445 | + | 0.572005i | ||||
\(313\) | −770.000 | −0.139051 | −0.0695255 | − | 0.997580i | \(-0.522149\pi\) | ||||
−0.0695255 | + | 0.997580i | \(0.522149\pi\) | |||||||
\(314\) | 4602.00 | + | 2656.97i | 0.827089 | + | 0.477520i | ||||
\(315\) | 3432.00 | − | 5944.40i | 0.613877 | − | 1.06327i | ||||
\(316\) | −2488.00 | − | 4309.34i | −0.442914 | − | 0.767150i | ||||
\(317\) | 8057.50i | 1.42762i | 0.700341 | + | 0.713808i | \(0.253031\pi\) | ||||
−0.700341 | + | 0.713808i | \(0.746969\pi\) | |||||||
\(318\) | −8946.00 | + | 5164.98i | −1.57757 | + | 0.910810i | ||||
\(319\) | −1345.50 | + | 776.825i | −0.236155 | + | 0.136344i | ||||
\(320\) | − | 886.810i | − | 0.154919i | ||||||
\(321\) | −892.500 | − | 1545.86i | −0.155185 | − | 0.268789i | ||||
\(322\) | 2223.00 | − | 3850.35i | 0.384730 | − | 0.666371i | ||||
\(323\) | 2065.50 | + | 1192.52i | 0.355813 | + | 0.205429i | ||||
\(324\) | 3356.00 | 0.575446 | ||||||||
\(325\) | 871.000 | − | 3017.23i | 0.148660 | − | 0.514972i | ||||
\(326\) | 5658.00 | 0.961250 | ||||||||
\(327\) | −3696.00 | − | 2133.89i | −0.625044 | − | 0.360869i | ||||
\(328\) | 2724.00 | − | 4718.11i | 0.458560 | − | 0.794250i | ||||
\(329\) | −3861.00 | − | 6687.45i | −0.647002 | − | 1.12064i | ||||
\(330\) | 7565.60i | 1.26204i | ||||||||
\(331\) | −4570.50 | + | 2638.78i | −0.758965 | + | 0.438189i | −0.828924 | − | 0.559361i | \(-0.811046\pi\) |
0.0699590 | + | 0.997550i | \(0.477713\pi\) | |||||||
\(332\) | 1476.00 | − | 852.169i | 0.243994 | − | 0.140870i | ||||
\(333\) | 876.418i | 0.144226i | ||||||||
\(334\) | −2817.00 | − | 4879.19i | −0.461495 | − | 0.799333i | ||||
\(335\) | −1140.00 | + | 1974.54i | −0.185925 | + | 0.322031i | ||||
\(336\) | −10920.0 | − | 6304.66i | −1.77302 | − | 1.02365i | ||||
\(337\) | 8278.00 | 1.33808 | 0.669038 | − | 0.743228i | \(-0.266706\pi\) | ||||
0.669038 | + | 0.743228i | \(0.266706\pi\) | |||||||
\(338\) | 3549.00 | + | 6732.48i | 0.571125 | + | 1.08343i | ||||
\(339\) | −2877.00 | −0.460936 | ||||||||
\(340\) | 1296.00 | + | 748.246i | 0.206722 | + | 0.119351i | ||||
\(341\) | −819.000 | + | 1418.55i | −0.130063 | + | 0.225275i | ||||
\(342\) | −3366.00 | − | 5830.08i | −0.532200 | − | 0.921798i | ||||
\(343\) | 4030.48i | 0.634477i | ||||||||
\(344\) | −1020.00 | + | 588.897i | −0.159868 | + | 0.0923000i | ||||
\(345\) | −4788.00 | + | 2764.35i | −0.747180 | + | 0.431385i | ||||
\(346\) | − | 3024.16i | − | 0.469884i | ||||||
\(347\) | −3433.50 | − | 5947.00i | −0.531181 | − | 0.920033i | −0.999338 | − | 0.0363875i | \(-0.988415\pi\) |
0.468156 | − | 0.883646i | \(-0.344918\pi\) | |||||||
\(348\) | 966.000 | − | 1673.16i | 0.148802 | − | 0.257732i | ||||
\(349\) | 10525.5 | + | 6076.90i | 1.61438 | + | 0.932060i | 0.988340 | + | 0.152266i | \(0.0486571\pi\) |
0.626036 | + | 0.779794i | \(0.284676\pi\) | |||||||
\(350\) | 5226.00 | 0.798118 | ||||||||
\(351\) | −455.000 | + | 1576.17i | −0.0691912 | + | 0.239685i | ||||
\(352\) | 3744.00 | 0.566920 | ||||||||
\(353\) | 5029.50 | + | 2903.78i | 0.758338 | + | 0.437827i | 0.828699 | − | 0.559695i | \(-0.189082\pi\) |
−0.0703608 | + | 0.997522i | \(0.522415\pi\) | |||||||
\(354\) | 231.000 | − | 400.104i | 0.0346822 | − | 0.0600714i | ||||
\(355\) | 4044.00 | + | 7004.41i | 0.604601 | + | 1.04720i | ||||
\(356\) | 1226.29i | 0.182566i | ||||||||
\(357\) | −3685.50 | + | 2127.82i | −0.546379 | + | 0.315452i | ||||
\(358\) | −3861.00 | + | 2229.15i | −0.570001 | + | 0.329090i | ||||
\(359\) | 1340.61i | 0.197088i | 0.995133 | + | 0.0985439i | \(0.0314185\pi\) | ||||
−0.995133 | + | 0.0985439i | \(0.968581\pi\) | |||||||
\(360\) | 2112.00 | + | 3658.09i | 0.309200 | + | 0.535551i | ||||
\(361\) | 472.000 | − | 817.528i | 0.0688147 | − | 0.119191i | ||||
\(362\) | −6.00000 | − | 3.46410i | −0.000871141 | − | 0.000502953i | ||||
\(363\) | −5768.00 | −0.833999 | ||||||||
\(364\) | −3042.00 | + | 2927.17i | −0.438033 | + | 0.421498i | ||||
\(365\) | −13920.0 | −1.99618 | ||||||||
\(366\) | −357.000 | − | 206.114i | −0.0509855 | − | 0.0294365i | ||||
\(367\) | −1832.50 | + | 3173.98i | −0.260642 | + | 0.451446i | −0.966413 | − | 0.256995i | \(-0.917268\pi\) |
0.705770 | + | 0.708441i | \(0.250601\pi\) | |||||||
\(368\) | 2280.00 | + | 3949.08i | 0.322971 | + | 0.559402i | ||||
\(369\) | 8649.86i | 1.22031i | ||||||||
\(370\) | −1656.00 | + | 956.092i | −0.232679 | + | 0.134337i | ||||
\(371\) | 8307.00 | − | 4796.05i | 1.16247 | − | 0.671155i | ||||
\(372\) | − | 2036.89i | − | 0.283892i | ||||||
\(373\) | −2685.50 | − | 4651.42i | −0.372788 | − | 0.645688i | 0.617205 | − | 0.786802i | \(-0.288265\pi\) |
−0.989993 | + | 0.141114i | \(0.954931\pi\) | |||||||
\(374\) | 1053.00 | − | 1823.85i | 0.145586 | − | 0.252163i | ||||
\(375\) | 4872.00 | + | 2812.85i | 0.670904 | + | 0.387347i | ||||
\(376\) | 4752.00 | 0.651770 | ||||||||
\(377\) | 2242.50 | + | 2330.47i | 0.306352 | + | 0.318370i | ||||
\(378\) | −2730.00 | −0.371471 | ||||||||
\(379\) | −9967.50 | − | 5754.74i | −1.35091 | − | 0.779950i | −0.362536 | − | 0.931970i | \(-0.618089\pi\) |
−0.988377 | + | 0.152020i | \(0.951422\pi\) | |||||||
\(380\) | 2448.00 | − | 4240.06i | 0.330473 | − | 0.572396i | ||||
\(381\) | −7850.50 | − | 13597.5i | −1.05563 | − | 1.82840i | ||||
\(382\) | − | 9841.51i | − | 1.31816i | ||||||
\(383\) | 2095.50 | − | 1209.84i | 0.279569 | − | 0.161409i | −0.353659 | − | 0.935374i | \(-0.615063\pi\) |
0.633228 | + | 0.773965i | \(0.281729\pi\) | |||||||
\(384\) | 9408.00 | − | 5431.71i | 1.25026 | − | 0.721838i | ||||
\(385\) | − | 7025.20i | − | 0.929967i | ||||||
\(386\) | 7353.00 | + | 12735.8i | 0.969580 | + | 1.67936i | ||||
\(387\) | 935.000 | − | 1619.47i | 0.122813 | − | 0.212719i | ||||
\(388\) | 4278.00 | + | 2469.90i | 0.559749 | + | 0.323171i | ||||
\(389\) | −9858.00 | −1.28489 | −0.642443 | − | 0.766334i | \(-0.722079\pi\) | ||||
−0.642443 | + | 0.766334i | \(0.722079\pi\) | |||||||
\(390\) | 15288.0 | − | 3782.80i | 1.98497 | − | 0.491152i | ||||
\(391\) | 1539.00 | 0.199055 | ||||||||
\(392\) | 1968.00 | + | 1136.23i | 0.253569 | + | 0.146398i | ||||
\(393\) | −1302.00 | + | 2255.13i | −0.167118 | + | 0.289456i | ||||
\(394\) | −4767.00 | − | 8256.69i | −0.609538 | − | 1.05575i | ||||
\(395\) | − | 17237.4i | − | 2.19571i | ||||||
\(396\) | −1716.00 | + | 990.733i | −0.217758 | + | 0.125723i | ||||
\(397\) | −7552.50 | + | 4360.44i | −0.954784 | + | 0.551245i | −0.894564 | − | 0.446941i | \(-0.852514\pi\) |
−0.0602200 | + | 0.998185i | \(0.519180\pi\) | |||||||
\(398\) | − | 5837.01i | − | 0.735133i | ||||||
\(399\) | 6961.50 | + | 12057.7i | 0.873461 | + | 1.51288i | ||||
\(400\) | −2680.00 | + | 4641.90i | −0.335000 | + | 0.580237i | ||||
\(401\) | −6568.50 | − | 3792.33i | −0.817993 | − | 0.472269i | 0.0317308 | − | 0.999496i | \(-0.489898\pi\) |
−0.849724 | + | 0.527228i | \(0.823231\pi\) | |||||||
\(402\) | −3990.00 | −0.495033 | ||||||||
\(403\) | 3276.00 | + | 945.700i | 0.404936 | + | 0.116895i | ||||
\(404\) | −7836.00 | −0.964989 | ||||||||
\(405\) | 10068.0 | + | 5812.76i | 1.23527 | + | 0.713181i | ||||
\(406\) | −2691.00 | + | 4660.95i | −0.328946 | + | 0.569751i | ||||
\(407\) | 448.500 | + | 776.825i | 0.0546224 | + | 0.0946088i | ||||
\(408\) | − | 2618.86i | − | 0.317777i | ||||||
\(409\) | 3727.50 | − | 2152.07i | 0.450643 | − | 0.260179i | −0.257459 | − | 0.966289i | \(-0.582885\pi\) |
0.708102 | + | 0.706110i | \(0.249552\pi\) | |||||||
\(410\) | −16344.0 | + | 9436.21i | −1.96871 | + | 1.13664i | ||||
\(411\) | 8329.43i | 0.999661i | ||||||||
\(412\) | 3712.00 | + | 6429.37i | 0.443876 | + | 0.768817i | ||||
\(413\) | −214.500 | + | 371.525i | −0.0255565 | + | 0.0442652i | ||||
\(414\) | −3762.00 | − | 2171.99i | −0.446600 | − | 0.257844i | ||||
\(415\) | 5904.00 | 0.698352 | ||||||||
\(416\) | −1872.00 | − | 7565.60i | −0.220631 | − | 0.891668i | ||||
\(417\) | 17815.0 | 2.09210 | ||||||||
\(418\) | −5967.00 | − | 3445.05i | −0.698219 | − | 0.403117i | ||||
\(419\) | −2698.50 | + | 4673.94i | −0.314631 | + | 0.544957i | −0.979359 | − | 0.202129i | \(-0.935214\pi\) |
0.664728 | + | 0.747085i | \(0.268547\pi\) | |||||||
\(420\) | 4368.00 | + | 7565.60i | 0.507468 | + | 0.878960i | ||||
\(421\) | 7260.76i | 0.840541i | 0.907399 | + | 0.420270i | \(0.138065\pi\) | ||||
−0.907399 | + | 0.420270i | \(0.861935\pi\) | |||||||
\(422\) | 5043.00 | − | 2911.58i | 0.581728 | − | 0.335861i | ||||
\(423\) | −6534.00 | + | 3772.41i | −0.751050 | + | 0.433619i | ||||
\(424\) | 5902.83i | 0.676101i | ||||||||
\(425\) | 904.500 | + | 1566.64i | 0.103235 | + | 0.178808i | ||||
\(426\) | −7077.00 | + | 12257.7i | −0.804887 | + | 1.39410i | ||||
\(427\) | 331.500 | + | 191.392i | 0.0375700 | + | 0.0216911i | ||||
\(428\) | 1020.00 | 0.115195 | ||||||||
\(429\) | −1774.50 | − | 7171.56i | −0.199706 | − | 0.807100i | ||||
\(430\) | 4080.00 | 0.457570 | ||||||||
\(431\) | −421.500 | − | 243.353i | −0.0471066 | − | 0.0271970i | 0.476262 | − | 0.879304i | \(-0.341991\pi\) |
−0.523368 | + | 0.852107i | \(0.675325\pi\) | |||||||
\(432\) | 1400.00 | − | 2424.87i | 0.155920 | − | 0.270062i | ||||
\(433\) | −6069.50 | − | 10512.7i | −0.673629 | − | 1.16676i | −0.976867 | − | 0.213846i | \(-0.931401\pi\) |
0.303238 | − | 0.952915i | \(-0.401932\pi\) | |||||||
\(434\) | 5674.20i | 0.627581i | ||||||||
\(435\) | 5796.00 | − | 3346.32i | 0.638844 | − | 0.368836i | ||||
\(436\) | 2112.00 | − | 1219.36i | 0.231987 | − | 0.133938i | ||||
\(437\) | − | 5035.07i | − | 0.551167i | ||||||
\(438\) | −12180.0 | − | 21096.4i | −1.32873 | − | 2.30142i | ||||
\(439\) | −230.500 | + | 399.238i | −0.0250596 | + | 0.0434045i | −0.878283 | − | 0.478141i | \(-0.841311\pi\) |
0.853224 | + | 0.521545i | \(0.174644\pi\) | |||||||
\(440\) | 3744.00 | + | 2161.60i | 0.405655 | + | 0.234205i | ||||
\(441\) | −3608.00 | −0.389591 | ||||||||
\(442\) | −4212.00 | − | 1215.90i | −0.453268 | − | 0.130847i | ||||
\(443\) | 12156.0 | 1.30372 | 0.651861 | − | 0.758338i | \(-0.273988\pi\) | ||||
0.651861 | + | 0.758338i | \(0.273988\pi\) | |||||||
\(444\) | −966.000 | − | 557.720i | −0.103253 | − | 0.0596131i | ||||
\(445\) | −2124.00 | + | 3678.88i | −0.226263 | + | 0.391900i | ||||
\(446\) | 7095.00 | + | 12288.9i | 0.753269 | + | 1.30470i | ||||
\(447\) | − | 9129.64i | − | 0.966034i | ||||||
\(448\) | −1248.00 | + | 720.533i | −0.131613 | + | 0.0759866i | ||||
\(449\) | −256.500 | + | 148.090i | −0.0269599 | + | 0.0155653i | −0.513419 | − | 0.858138i | \(-0.671621\pi\) |
0.486459 | + | 0.873703i | \(0.338288\pi\) | |||||||
\(450\) | − | 5106.09i | − | 0.534896i | ||||||
\(451\) | 4426.50 | + | 7666.92i | 0.462164 | + | 0.800491i | ||||
\(452\) | 822.000 | − | 1423.75i | 0.0855390 | − | 0.148158i | ||||
\(453\) | −525.000 | − | 303.109i | −0.0544518 | − | 0.0314377i | ||||
\(454\) | −1518.00 | −0.156924 | ||||||||
\(455\) | −14196.0 | + | 3512.60i | −1.46268 | + | 0.361919i | ||||
\(456\) | −8568.00 | −0.879898 | ||||||||
\(457\) | 529.500 | + | 305.707i | 0.0541990 | + | 0.0312918i | 0.526855 | − | 0.849955i | \(-0.323371\pi\) |
−0.472656 | + | 0.881247i | \(0.656705\pi\) | |||||||
\(458\) | 312.000 | − | 540.400i | 0.0318314 | − | 0.0551337i | ||||
\(459\) | −472.500 | − | 818.394i | −0.0480488 | − | 0.0832230i | ||||
\(460\) | − | 3159.26i | − | 0.320220i | ||||||
\(461\) | −11368.5 | + | 6563.61i | −1.14855 | + | 0.663119i | −0.948535 | − | 0.316673i | \(-0.897434\pi\) |
−0.200020 | + | 0.979792i | \(0.564101\pi\) | |||||||
\(462\) | 10647.0 | − | 6147.05i | 1.07217 | − | 0.619019i | ||||
\(463\) | − | 834.848i | − | 0.0837985i | −0.999122 | − | 0.0418992i | \(-0.986659\pi\) | ||
0.999122 | − | 0.0418992i | \(-0.0133408\pi\) | |||||||
\(464\) | −2760.00 | − | 4780.46i | −0.276142 | − | 0.478292i | ||||
\(465\) | 3528.00 | − | 6110.68i | 0.351843 | − | 0.609410i | ||||
\(466\) | 17334.0 | + | 10007.8i | 1.72314 | + | 0.994854i | ||||
\(467\) | 14496.0 | 1.43639 | 0.718196 | − | 0.695841i | \(-0.244968\pi\) | ||||
0.718196 | + | 0.695841i | \(0.244968\pi\) | |||||||
\(468\) | 2860.00 | + | 2972.20i | 0.282486 | + | 0.293568i | ||||
\(469\) | 3705.00 | 0.364778 | ||||||||
\(470\) | −14256.0 | − | 8230.71i | −1.39911 | − | 0.807775i | ||||
\(471\) | −5369.00 | + | 9299.38i | −0.525245 | + | 0.909751i | ||||
\(472\) | −132.000 | − | 228.631i | −0.0128724 | − | 0.0222957i | ||||
\(473\) | − | 1913.92i | − | 0.186051i | ||||||
\(474\) | 26124.0 | − | 15082.7i | 2.53147 | − | 1.46154i | ||||
\(475\) | 5125.50 | − | 2959.21i | 0.495103 | − | 0.285848i | ||||
\(476\) | − | 2431.80i | − | 0.234162i | ||||||
\(477\) | −4686.00 | − | 8116.39i | −0.449805 | − | 0.779086i | ||||
\(478\) | −3222.00 | + | 5580.67i | −0.308307 | + | 0.534004i | ||||
\(479\) | −7705.50 | − | 4448.77i | −0.735017 | − | 0.424362i | 0.0852376 | − | 0.996361i | \(-0.472835\pi\) |
−0.820255 | + | 0.571998i | \(0.806168\pi\) | |||||||
\(480\) | −16128.0 | −1.53362 | ||||||||
\(481\) | 1345.50 | − | 1294.71i | 0.127546 | − | 0.122731i | ||||
\(482\) | −7134.00 | −0.674159 | ||||||||
\(483\) | 7780.50 | + | 4492.07i | 0.732971 | + | 0.423181i | ||||
\(484\) | 1648.00 | − | 2854.42i | 0.154771 | − | 0.268071i | ||||
\(485\) | 8556.00 | + | 14819.4i | 0.801047 | + | 1.38745i | ||||
\(486\) | 17071.1i | 1.59333i | ||||||||
\(487\) | 4117.50 | − | 2377.24i | 0.383125 | − | 0.221197i | −0.296052 | − | 0.955172i | \(-0.595670\pi\) |
0.679177 | + | 0.733975i | \(0.262337\pi\) | |||||||
\(488\) | −204.000 | + | 117.779i | −0.0189235 | + | 0.0109255i | ||||
\(489\) | 11433.3i | 1.05732i | ||||||||
\(490\) | −3936.00 | − | 6817.35i | −0.362878 | − | 0.628524i | ||||
\(491\) | 817.500 | − | 1415.95i | 0.0751390 | − | 0.130145i | −0.826008 | − | 0.563659i | \(-0.809393\pi\) |
0.901147 | + | 0.433514i | \(0.142727\pi\) | |||||||
\(492\) | −9534.00 | − | 5504.46i | −0.873630 | − | 0.504390i | ||||
\(493\) | −1863.00 | −0.170193 | ||||||||
\(494\) | −3978.00 | + | 13780.2i | −0.362305 | + | 1.25506i | ||||
\(495\) | −6864.00 | −0.623260 | ||||||||
\(496\) | −5040.00 | − | 2909.85i | −0.456255 | − | 0.263419i | ||||
\(497\) | 6571.50 | − | 11382.2i | 0.593103 | − | 1.02728i | ||||
\(498\) | 5166.00 | + | 8947.77i | 0.464847 | + | 0.805139i | ||||
\(499\) | − | 14434.9i | − | 1.29498i | −0.762074 | − | 0.647490i | \(-0.775819\pi\) | ||
0.762074 | − | 0.647490i | \(-0.224181\pi\) | |||||||
\(500\) | −2784.00 | + | 1607.34i | −0.249009 | + | 0.143765i | ||||
\(501\) | 9859.50 | − | 5692.38i | 0.879222 | − | 0.507619i | ||||
\(502\) | 15557.3i | 1.38318i | ||||||||
\(503\) | −6343.50 | − | 10987.3i | −0.562312 | − | 0.973952i | −0.997294 | − | 0.0735133i | \(-0.976579\pi\) |
0.434983 | − | 0.900439i | \(-0.356754\pi\) | |||||||
\(504\) | 3432.00 | − | 5944.40i | 0.303320 | − | 0.525366i | ||||
\(505\) | −23508.0 | − | 13572.4i | −2.07147 | − | 1.19596i | ||||
\(506\) | −4446.00 | −0.390610 | ||||||||
\(507\) | −13604.5 | + | 7171.56i | −1.19171 | + | 0.628205i | ||||
\(508\) | 8972.00 | 0.783599 | ||||||||
\(509\) | −4978.50 | − | 2874.34i | −0.433533 | − | 0.250300i | 0.267318 | − | 0.963608i | \(-0.413863\pi\) |
−0.700850 | + | 0.713308i | \(0.747196\pi\) | |||||||
\(510\) | −4536.00 | + | 7856.58i | −0.393838 | + | 0.682148i | ||||
\(511\) | 11310.0 | + | 19589.5i | 0.979109 | + | 1.69587i | ||||
\(512\) | 4434.05i | 0.382733i | ||||||||
\(513\) | −2677.50 | + | 1545.86i | −0.230438 | + | 0.133043i | ||||
\(514\) | 16353.0 | − | 9441.41i | 1.40331 | − | 0.810200i | ||||
\(515\) | 25717.5i | 2.20048i | ||||||||
\(516\) | 1190.00 | + | 2061.14i | 0.101525 | + | 0.175846i | ||||
\(517\) | −3861.00 | + | 6687.45i | −0.328446 | + | 0.568885i | ||||
\(518\) | 2691.00 | + | 1553.65i | 0.228254 | + | 0.131783i | ||||
\(519\) | 6111.00 | 0.516846 | ||||||||
\(520\) | 2496.00 | − | 8646.40i | 0.210494 | − | 0.729172i | ||||
\(521\) | 6054.00 | 0.509080 | 0.254540 | − | 0.967062i | \(-0.418076\pi\) | ||||
0.254540 | + | 0.967062i | \(0.418076\pi\) | |||||||
\(522\) | 4554.00 | + | 2629.25i | 0.381845 | + | 0.220458i | ||||
\(523\) | 7401.50 | − | 12819.8i | 0.618824 | − | 1.07183i | −0.370877 | − | 0.928682i | \(-0.620943\pi\) |
0.989701 | − | 0.143153i | \(-0.0457240\pi\) | |||||||
\(524\) | −744.000 | − | 1288.65i | −0.0620263 | − | 0.107433i | ||||
\(525\) | 10560.3i | 0.877885i | ||||||||
\(526\) | −2349.00 | + | 1356.20i | −0.194717 | + | 0.112420i | ||||
\(527\) | −1701.00 | + | 982.073i | −0.140601 | + | 0.0811760i | ||||
\(528\) | 12609.3i | 1.03930i | ||||||||
\(529\) | 4459.00 | + | 7723.21i | 0.366483 | + | 0.634767i | ||||
\(530\) | 10224.0 | − | 17708.5i | 0.837929 | − | 1.45133i | ||||
\(531\) | 363.000 | + | 209.578i | 0.0296664 | + | 0.0171279i | ||||
\(532\) | −7956.00 | −0.648377 | ||||||||
\(533\) | 13279.5 | − | 12778.2i | 1.07917 | − | 1.03843i | ||||
\(534\) | −7434.00 | −0.602436 | ||||||||
\(535\) | 3060.00 | + | 1766.69i | 0.247281 | + | 0.142768i | ||||
\(536\) | −1140.00 | + | 1974.54i | −0.0918666 | + | 0.159118i | ||||
\(537\) | −4504.50 | − | 7802.02i | −0.361980 | − | 0.626969i | ||||
\(538\) | − | 17615.0i | − | 1.41159i | ||||||
\(539\) | −3198.00 | + | 1846.37i | −0.255561 | + | 0.147548i | ||||
\(540\) | −1680.00 | + | 969.948i | −0.133881 | + | 0.0772962i | ||||
\(541\) | − | 21470.5i | − | 1.70626i | −0.521695 | − | 0.853132i | \(-0.674700\pi\) | ||
0.521695 | − | 0.853132i | \(-0.325300\pi\) | |||||||
\(542\) | 2295.00 | + | 3975.06i | 0.181880 | + | 0.315025i | ||||
\(543\) | 7.00000 | − | 12.1244i | 0.000553221 | − | 0.000958206i | ||||
\(544\) | 3888.00 | + | 2244.74i | 0.306428 | + | 0.176916i | ||||
\(545\) | 8448.00 | 0.663986 | ||||||||
\(546\) | −17745.0 | − | 18441.1i | −1.39087 | − | 1.44544i | ||||
\(547\) | −13516.0 | −1.05649 | −0.528247 | − | 0.849091i | \(-0.677151\pi\) | ||||
−0.528247 | + | 0.849091i | \(0.677151\pi\) | |||||||
\(548\) | −4122.00 | − | 2379.84i | −0.321320 | − | 0.185514i | ||||
\(549\) | 187.000 | − | 323.894i | 0.0145373 | − | 0.0251793i | ||||
\(550\) | −2613.00 | − | 4525.85i | −0.202579 | − | 0.350878i | ||||
\(551\) | 6095.09i | 0.471251i | ||||||||
\(552\) | −4788.00 | + | 2764.35i | −0.369186 | + | 0.213150i | ||||
\(553\) | −24258.0 | + | 14005.4i | −1.86538 | + | 1.07698i | ||||
\(554\) | − | 11850.7i | − | 0.908822i | ||||||
\(555\) | −1932.00 | − | 3346.32i | −0.147764 | − | 0.255934i | ||||
\(556\) | −5090.00 | + | 8816.14i | −0.388245 | + | 0.672460i | ||||
\(557\) | 2503.50 | + | 1445.40i | 0.190443 | + | 0.109952i | 0.592190 | − | 0.805798i | \(-0.298264\pi\) |
−0.401747 | + | 0.915751i | \(0.631597\pi\) | |||||||
\(558\) | 5544.00 | 0.420603 | ||||||||
\(559\) | −3867.50 | + | 956.958i | −0.292626 | + | 0.0724061i | ||||
\(560\) | 24960.0 | 1.88349 | ||||||||
\(561\) | 3685.50 | + | 2127.82i | 0.277365 | + | 0.160137i | ||||
\(562\) | 1404.00 | − | 2431.80i | 0.105381 | − | 0.182525i | ||||
\(563\) | −5791.50 | − | 10031.2i | −0.433539 | − | 0.750912i | 0.563636 | − | 0.826023i | \(-0.309402\pi\) |
−0.997175 | + | 0.0751113i | \(0.976069\pi\) | |||||||
\(564\) | − | 9602.49i | − | 0.716911i | ||||||
\(565\) | 4932.00 | − | 2847.49i | 0.367240 | − | 0.212026i | ||||
\(566\) | 21531.0 | − | 12430.9i | 1.59897 | − | 0.923164i | ||||
\(567\) | − | 18891.5i | − | 1.39924i | ||||||
\(568\) | 4044.00 | + | 7004.41i | 0.298737 | + | 0.517427i | ||||
\(569\) | −6439.50 | + | 11153.5i | −0.474443 | + | 0.821759i | −0.999572 | − | 0.0292638i | \(-0.990684\pi\) |
0.525129 | + | 0.851023i | \(0.324017\pi\) | |||||||
\(570\) | 25704.0 | + | 14840.2i | 1.88881 | + | 1.09051i | ||||
\(571\) | −11636.0 | −0.852805 | −0.426402 | − | 0.904534i | \(-0.640219\pi\) | ||||
−0.426402 | + | 0.904534i | \(0.640219\pi\) | |||||||
\(572\) | 4056.00 | + | 1170.87i | 0.296486 | + | 0.0855881i | ||||
\(573\) | 19887.0 | 1.44990 | ||||||||
\(574\) | 26559.0 | + | 15333.8i | 1.93127 | + | 1.11502i | ||||
\(575\) | 1909.50 | − | 3307.35i | 0.138490 | − | 0.239871i | ||||
\(576\) | 704.000 | + | 1219.36i | 0.0509259 | + | 0.0882063i | ||||
\(577\) | 12311.4i | 0.888269i | 0.895960 | + | 0.444134i | \(0.146489\pi\) | ||||
−0.895960 | + | 0.444134i | \(0.853511\pi\) | |||||||
\(578\) | −12552.0 | + | 7246.90i | −0.903277 | + | 0.521507i | ||||
\(579\) | −25735.5 | + | 14858.4i | −1.84720 | + | 1.06648i | ||||
\(580\) | 3824.37i | 0.273790i | ||||||||
\(581\) | −4797.00 | − | 8308.65i | −0.342535 | − | 0.593289i | ||||
\(582\) | −14973.0 | + | 25934.0i | −1.06641 | + | 1.84708i | ||||
\(583\) | −8307.00 | − | 4796.05i | −0.590121 | − | 0.340707i | ||||
\(584\) | −13920.0 | −0.986325 | ||||||||
\(585\) | 3432.00 | + | 13870.3i | 0.242557 | + | 0.980282i | ||||
\(586\) | −32262.0 | −2.27428 | ||||||||
\(587\) | −13549.5 | − | 7822.81i | −0.952722 | − | 0.550054i | −0.0587964 | − | 0.998270i | \(-0.518726\pi\) |
−0.893925 | + | 0.448216i | \(0.852060\pi\) | |||||||
\(588\) | 2296.00 | − | 3976.79i | 0.161030 | − | 0.278912i | ||||
\(589\) | 3213.00 | + | 5565.08i | 0.224770 | + | 0.389313i | ||||
\(590\) | 914.523i | 0.0638141i | ||||||||
\(591\) | 16684.5 | − | 9632.80i | 1.16127 | − | 0.670458i | ||||
\(592\) | −2760.00 | + | 1593.49i | −0.191614 | + | 0.110628i | ||||
\(593\) | 25821.4i | 1.78813i | 0.447942 | + | 0.894063i | \(0.352157\pi\) | ||||
−0.447942 | + | 0.894063i | \(0.647843\pi\) | |||||||
\(594\) | 1365.00 | + | 2364.25i | 0.0942873 | + | 0.163310i | ||||
\(595\) | 4212.00 | − | 7295.40i | 0.290210 | − | 0.502659i | ||||
\(596\) | 4518.00 | + | 2608.47i | 0.310511 | + | 0.179274i | ||||
\(597\) | 11795.0 | 0.808605 | ||||||||
\(598\) | 2223.00 | + | 8984.15i | 0.152015 | + | 0.614363i | ||||
\(599\) | 1668.00 | 0.113777 | 0.0568887 | − | 0.998381i | \(-0.481882\pi\) | ||||
0.0568887 | + | 0.998381i | \(0.481882\pi\) | |||||||
\(600\) | −5628.00 | − | 3249.33i | −0.382937 | − | 0.221089i | ||||
\(601\) | −6849.50 | + | 11863.7i | −0.464887 | + | 0.805207i | −0.999196 | − | 0.0400813i | \(-0.987238\pi\) |
0.534310 | + | 0.845289i | \(0.320572\pi\) | |||||||
\(602\) | −3315.00 | − | 5741.75i | −0.224434 | − | 0.388731i | ||||
\(603\) | − | 3619.99i | − | 0.244473i | ||||||
\(604\) | 300.000 | − | 173.205i | 0.0202100 | − | 0.0116682i | ||||
\(605\) | 9888.00 | − | 5708.84i | 0.664470 | − | 0.383632i | ||||
\(606\) | − | 47503.2i | − | 3.18430i | ||||||
\(607\) | 11586.5 | + | 20068.4i | 0.774764 | + | 1.34193i | 0.934927 | + | 0.354839i | \(0.115464\pi\) |
−0.160164 | + | 0.987090i | \(0.551202\pi\) | |||||||
\(608\) | 7344.00 | − | 12720.2i | 0.489866 | − | 0.848473i | ||||
\(609\) | −9418.50 | − | 5437.77i | −0.626694 | − | 0.361822i | ||||
\(610\) | 816.000 | 0.0541621 | ||||||||
\(611\) | 15444.0 | + | 4458.30i | 1.02258 | + | 0.295194i | ||||
\(612\) | −2376.00 | −0.156935 | ||||||||
\(613\) | 14389.5 | + | 8307.78i | 0.948102 | + | 0.547387i | 0.892491 | − | 0.451066i | \(-0.148956\pi\) |
0.0556111 | + | 0.998453i | \(0.482289\pi\) | |||||||
\(614\) | −8274.00 | + | 14331.0i | −0.543830 | + | 0.941941i | ||||
\(615\) | −19068.0 | − | 33026.7i | −1.25024 | − | 2.16547i | ||||
\(616\) | − | 7025.20i | − | 0.459502i | ||||||
\(617\) | 24589.5 | − | 14196.8i | 1.60443 | − | 0.926321i | 0.613849 | − | 0.789423i | \(-0.289620\pi\) |
0.990585 | − | 0.136897i | \(-0.0437130\pi\) | |||||||
\(618\) | −38976.0 | + | 22502.8i | −2.53697 | + | 1.46472i | ||||
\(619\) | − | 6245.78i | − | 0.405556i | −0.979225 | − | 0.202778i | \(-0.935003\pi\) | ||
0.979225 | − | 0.202778i | \(-0.0649969\pi\) | |||||||
\(620\) | 2016.00 | + | 3491.81i | 0.130588 | + | 0.226185i | ||||
\(621\) | −997.500 | + | 1727.72i | −0.0644578 | + | 0.111644i | ||||
\(622\) | −18576.0 | − | 10724.9i | −1.19748 | − | 0.691363i | ||||
\(623\) | 6903.00 | 0.443921 | ||||||||
\(624\) | 25480.0 | − | 6304.66i | 1.63464 | − | 0.404469i | ||||
\(625\) | −19511.0 | −1.24870 | ||||||||
\(626\) | 2310.00 | + | 1333.68i | 0.147486 | + | 0.0851510i | ||||
\(627\) | 6961.50 | − | 12057.7i | 0.443406 | − | 0.768002i | ||||
\(628\) | −3068.00 | − | 5313.93i | −0.194947 | − | 0.337658i | ||||
\(629\) | 1075.60i | 0.0681830i | ||||||||
\(630\) | −20592.0 | + | 11888.8i | −1.30223 | + | 0.751843i | ||||
\(631\) | 19381.5 | − | 11189.9i | 1.22277 | − | 0.705964i | 0.257259 | − | 0.966342i | \(-0.417181\pi\) |
0.965507 | + | 0.260378i | \(0.0838472\pi\) | |||||||
\(632\) | − | 17237.4i | − | 1.08491i | ||||||
\(633\) | 5883.50 | + | 10190.5i | 0.369428 | + | 0.639869i | ||||
\(634\) | 13956.0 | − | 24172.5i | 0.874233 | − | 1.51422i | ||||
\(635\) | 26916.0 | + | 15540.0i | 1.68209 | + | 0.971157i | ||||
\(636\) | 11928.0 | 0.743673 | ||||||||
\(637\) | 5330.00 | + | 5539.10i | 0.331526 | + | 0.344532i | ||||
\(638\) | 5382.00 | 0.333974 | ||||||||
\(639\) | −11121.0 | − | 6420.71i | −0.688482 | − | 0.397495i | ||||
\(640\) | −10752.0 | + | 18623.0i | −0.664078 | + | 1.15022i | ||||
\(641\) | −9913.50 | − | 17170.7i | −0.610858 | − | 1.05804i | −0.991096 | − | 0.133148i | \(-0.957491\pi\) |
0.380239 | − | 0.924888i | \(-0.375842\pi\) | |||||||
\(642\) | 6183.42i | 0.380125i | ||||||||
\(643\) | −7318.50 | + | 4225.34i | −0.448855 | + | 0.259146i | −0.707346 | − | 0.706867i | \(-0.750108\pi\) |
0.258492 | + | 0.966013i | \(0.416775\pi\) | |||||||
\(644\) | −4446.00 | + | 2566.90i | −0.272045 | + | 0.157065i | ||||
\(645\) | 8244.56i | 0.503301i | ||||||||
\(646\) | −4131.00 | − | 7155.10i | −0.251598 | − | 0.435780i | ||||
\(647\) | −1474.50 | + | 2553.91i | −0.0895959 | + | 0.155185i | −0.907340 | − | 0.420397i | \(-0.861891\pi\) |
0.817744 | + | 0.575581i | \(0.195224\pi\) | |||||||
\(648\) | 10068.0 | + | 5812.76i | 0.610352 | + | 0.352387i | ||||
\(649\) | 429.000 | 0.0259472 | ||||||||
\(650\) | −7839.00 | + | 7543.08i | −0.473032 | + | 0.455175i | ||||
\(651\) | −11466.0 | −0.690304 | ||||||||
\(652\) | −5658.00 | − | 3266.65i | −0.339853 | − | 0.196214i | ||||
\(653\) | −6019.50 | + | 10426.1i | −0.360737 | + | 0.624815i | −0.988082 | − | 0.153926i | \(-0.950808\pi\) |
0.627345 | + | 0.778741i | \(0.284141\pi\) | |||||||
\(654\) | 7392.00 | + | 12803.3i | 0.441973 | + | 0.765519i | ||||
\(655\) | − | 5154.58i | − | 0.307490i | ||||||
\(656\) | −27240.0 | + | 15727.0i | −1.62126 | + | 0.936032i | ||||
\(657\) | 19140.0 | − | 11050.5i | 1.13656 | − | 0.656196i | ||||
\(658\) | 26749.8i | 1.58483i | ||||||||
\(659\) | −1681.50 | − | 2912.44i | −0.0993960 | − | 0.172159i | 0.812039 | − | 0.583603i | \(-0.198358\pi\) |
−0.911435 | + | 0.411445i | \(0.865024\pi\) | |||||||
\(660\) | 4368.00 | − | 7565.60i | 0.257612 | − | 0.446198i | ||||
\(661\) | 8797.50 | + | 5079.24i | 0.517675 | + | 0.298880i | 0.735983 | − | 0.677000i | \(-0.236720\pi\) |
−0.218308 | + | 0.975880i | \(0.570054\pi\) | |||||||
\(662\) | 18282.0 | 1.07334 | ||||||||
\(663\) | 2457.00 | − | 8511.30i | 0.143925 | − | 0.498569i | ||||
\(664\) | 5904.00 | 0.345060 | ||||||||
\(665\) | −23868.0 | − | 13780.2i | −1.39182 | − | 0.803569i | ||||
\(666\) | 1518.00 | − | 2629.25i | 0.0883203 | − | 0.152975i | ||||
\(667\) | 1966.50 | + | 3406.08i | 0.114158 | + | 0.197727i | ||||
\(668\) | 6505.58i | 0.376809i | ||||||||
\(669\) | −24832.5 | + | 14337.1i | −1.43510 | + | 0.828554i | ||||
\(670\) | 6840.00 | − | 3949.08i | 0.394406 | − | 0.227711i | ||||
\(671\) | − | 382.783i | − | 0.0220226i | ||||||
\(672\) | 13104.0 | + | 22696.8i | 0.752229 | + | 1.30290i | ||||
\(673\) | 9084.50 | − | 15734.8i | 0.520329 | − | 0.901237i | −0.479391 | − | 0.877601i | \(-0.659142\pi\) |
0.999721 | − | 0.0236358i | \(-0.00752419\pi\) | |||||||
\(674\) | −24834.0 | − | 14337.9i | −1.41924 | − | 0.819400i | ||||
\(675\) | −2345.00 | −0.133717 | ||||||||
\(676\) | 338.000 | − | 8781.50i | 0.0192308 | − | 0.499630i | ||||
\(677\) | 9042.00 | 0.513312 | 0.256656 | − | 0.966503i | \(-0.417379\pi\) | ||||
0.256656 | + | 0.966503i | \(0.417379\pi\) | |||||||
\(678\) | 8631.00 | + | 4983.11i | 0.488896 | + | 0.282264i | ||||
\(679\) | 13903.5 | − | 24081.6i | 0.785813 | − | 1.36107i | ||||
\(680\) | 2592.00 | + | 4489.48i | 0.146175 | + | 0.253182i | ||||
\(681\) | − | 3067.46i | − | 0.172607i | ||||||
\(682\) | 4914.00 | − | 2837.10i | 0.275904 | − | 0.159293i | ||||
\(683\) | −10792.5 | + | 6231.05i | −0.604632 | + | 0.349084i | −0.770862 | − | 0.637003i | \(-0.780174\pi\) |
0.166230 | + | 0.986087i | \(0.446841\pi\) | |||||||
\(684\) | 7773.44i | 0.434540i | ||||||||
\(685\) | −8244.00 | − | 14279.0i | −0.459835 | − | 0.796458i | ||||
\(686\) | 6981.00 | − | 12091.4i | 0.388536 | − | 0.672964i | ||||
\(687\) | 1092.00 | + | 630.466i | 0.0606440 | + | 0.0350128i | ||||
\(688\) | 6800.00 | 0.376813 | ||||||||
\(689\) | −5538.00 | + | 19184.2i | −0.306213 | + | 1.06075i | ||||
\(690\) | 19152.0 | 1.05667 | ||||||||
\(691\) | −3739.50 | − | 2159.00i | −0.205872 | − | 0.118860i | 0.393520 | − | 0.919316i | \(-0.371257\pi\) |
−0.599391 | + | 0.800456i | \(0.704591\pi\) | |||||||
\(692\) | −1746.00 | + | 3024.16i | −0.0959147 | + | 0.166129i | ||||
\(693\) | 5577.00 | + | 9659.65i | 0.305704 | + | 0.529494i | ||||
\(694\) | 23788.0i | 1.30112i | ||||||||
\(695\) | −30540.0 | + | 17632.3i | −1.66683 | + | 0.962346i | ||||
\(696\) | 5796.00 | − | 3346.32i | 0.315656 | − | 0.182244i | ||||
\(697\) | 10615.7i | 0.576901i | ||||||||
\(698\) | −21051.0 | − | 36461.4i | −1.14154 | − | 1.97720i | ||||
\(699\) | −20223.0 | + | 35027.3i | −1.09428 | + | 1.89535i | ||||
\(700\) | −5226.00 | − | 3017.23i | −0.282177 | − | 0.162915i | ||||
\(701\) | −18270.0 | −0.984377 | −0.492189 | − | 0.870489i | \(-0.663803\pi\) | ||||
−0.492189 | + | 0.870489i | \(0.663803\pi\) | |||||||
\(702\) | 4095.00 | − | 3940.42i | 0.220165 | − | 0.211854i | ||||
\(703\) | 3519.00 | 0.188793 | ||||||||
\(704\) | 1248.00 | + | 720.533i | 0.0668122 | + | 0.0385740i | ||||
\(705\) | 16632.0 | − | 28807.5i | 0.888507 | − | 1.53894i | ||||
\(706\) | −10059.0 | − | 17422.7i | −0.536226 | − | 0.928770i | ||||
\(707\) | 44110.1i | 2.34644i | ||||||||
\(708\) | −462.000 | + | 266.736i | −0.0245240 | + | 0.0141590i | ||||
\(709\) | 1411.50 | − | 814.930i | 0.0747673 | − | 0.0431669i | −0.462150 | − | 0.886802i | \(-0.652922\pi\) |
0.536918 | + | 0.843635i | \(0.319589\pi\) | |||||||
\(710\) | − | 28017.7i | − | 1.48096i | ||||||
\(711\) | 13684.0 | + | 23701.4i | 0.721786 | + | 1.25017i | ||||
\(712\) | −2124.00 | + | 3678.88i | −0.111798 | + | 0.193640i | ||||
\(713\) | 3591.00 | + | 2073.26i | 0.188617 | + | 0.108898i | ||||
\(714\) | 14742.0 | 0.772697 | ||||||||
\(715\) | 10140.0 | + | 10537.8i | 0.530370 | + | 0.551177i | ||||
\(716\) | 5148.00 | 0.268701 | ||||||||
\(717\) | −11277.0 | − | 6510.78i | −0.587374 | − | 0.339121i | ||||
\(718\) | 2322.00 | − | 4021.82i | 0.120691 | − | 0.209043i | ||||
\(719\) | −4915.50 | − | 8513.90i | −0.254961 | − | 0.441606i | 0.709924 | − | 0.704279i | \(-0.248729\pi\) |
−0.964885 | + | 0.262673i | \(0.915396\pi\) | |||||||
\(720\) | − | 24387.3i | − | 1.26231i | ||||||
\(721\) | 36192.0 | − | 20895.5i | 1.86943 | − | 1.07932i | ||||
\(722\) | −2832.00 | + | 1635.06i | −0.145978 | + | 0.0842804i | ||||
\(723\) | − | 14415.9i | − | 0.741537i | ||||||
\(724\) | 4.00000 | + | 6.92820i | 0.000205330 | + | 0.000355642i | ||||
\(725\) | −2311.50 | + | 4003.64i | −0.118410 | + | 0.205091i | ||||
\(726\) | 17304.0 | + | 9990.47i | 0.884589 | + | 0.510718i | ||||
\(727\) | −15464.0 | −0.788897 | −0.394448 | − | 0.918918i | \(-0.629064\pi\) | ||||
−0.394448 | + | 0.918918i | \(0.629064\pi\) | |||||||
\(728\) | −14196.0 | + | 3512.60i | −0.722718 | + | 0.178826i | ||||
\(729\) | −11843.0 | −0.601687 | ||||||||
\(730\) | 41760.0 | + | 24110.1i | 2.11727 | + | 1.22241i | ||||
\(731\) | 1147.50 | − | 1987.53i | 0.0580599 | − | 0.100563i | ||||
\(732\) | 238.000 | + | 412.228i | 0.0120174 | + | 0.0208147i | ||||
\(733\) | − | 12616.3i | − | 0.635733i | −0.948136 | − | 0.317866i | \(-0.897034\pi\) | ||
0.948136 | − | 0.317866i | \(-0.102966\pi\) | |||||||
\(734\) | 10995.0 | − | 6347.97i | 0.552906 | − | 0.319220i | ||||
\(735\) | 13776.0 | − | 7953.58i | 0.691341 | − | 0.399146i | ||||
\(736\) | − | 9477.78i | − | 0.474668i | ||||||
\(737\) | −1852.50 | − | 3208.62i | −0.0925885 | − | 0.160368i | ||||
\(738\) | 14982.0 | − | 25949.6i | 0.747283 | − | 1.29433i | ||||
\(739\) | −14101.5 | − | 8141.50i | −0.701938 | − | 0.405264i | 0.106131 | − | 0.994352i | \(-0.466154\pi\) |
−0.808069 | + | 0.589088i | \(0.799487\pi\) | |||||||
\(740\) | 2208.00 | 0.109686 | ||||||||
\(741\) | −27846.0 | − | 8038.45i | −1.38050 | − | 0.398515i | ||||
\(742\) | −33228.0 | −1.64399 | ||||||||
\(743\) | 9358.50 | + | 5403.13i | 0.462086 | + | 0.266786i | 0.712921 | − | 0.701244i | \(-0.247372\pi\) |
−0.250835 | + | 0.968030i | \(0.580705\pi\) | |||||||
\(744\) | 3528.00 | − | 6110.68i | 0.173848 | − | 0.301113i | ||||
\(745\) | 9036.00 | + | 15650.8i | 0.444367 | + | 0.769666i | ||||
\(746\) | 18605.7i | 0.913140i | ||||||||
\(747\) | −8118.00 | + | 4686.93i | −0.397620 | + | 0.229566i | ||||
\(748\) | −2106.00 | + | 1215.90i | −0.102945 | + | 0.0594354i | ||||
\(749\) | − | 5741.75i | − | 0.280105i | ||||||
\(750\) | −9744.00 | − | 16877.1i | −0.474401 | − | 0.821686i | ||||
\(751\) | 6807.50 | − | 11790.9i | 0.330771 | − | 0.572913i | −0.651892 | − | 0.758312i | \(-0.726024\pi\) |
0.982663 | + | 0.185399i | \(0.0593578\pi\) | |||||||
\(752\) | −23760.0 | − | 13717.8i | −1.15218 | − | 0.665210i | ||||
\(753\) | −31437.0 | −1.52142 | ||||||||
\(754\) | −2691.00 | − | 10875.5i | −0.129974 | − | 0.525284i | ||||
\(755\) | 1200.00 | 0.0578443 | ||||||||
\(756\) | 2730.00 | + | 1576.17i | 0.131335 | + | 0.0758262i | ||||
\(757\) | −2775.50 | + | 4807.31i | −0.133259 | + | 0.230812i | −0.924931 | − | 0.380135i | \(-0.875878\pi\) |
0.791672 | + | 0.610947i | \(0.209211\pi\) | |||||||
\(758\) | 19935.0 | + | 34528.4i | 0.955240 | + | 1.65452i | ||||
\(759\) | − | 8984.15i | − | 0.429649i | ||||||
\(760\) | 14688.0 | − | 8480.12i | 0.701039 | − | 0.404745i | ||||
\(761\) | 8731.50 | − | 5041.13i | 0.415922 | − | 0.240133i | −0.277409 | − | 0.960752i | \(-0.589476\pi\) |
0.693331 | + | 0.720619i | \(0.256142\pi\) | |||||||
\(762\) | 54389.9i | 2.58574i | ||||||||
\(763\) | −6864.00 | − | 11888.8i | −0.325680 | − | 0.564093i | ||||
\(764\) | −5682.00 | + | 9841.51i | −0.269067 | + | 0.466039i | ||||
\(765\) | −7128.00 | − | 4115.35i | −0.336880 | − | 0.194498i | ||||
\(766\) | −8382.00 | −0.395371 | ||||||||
\(767\) | −214.500 | − | 866.891i | −0.0100980 | − |